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Finding the Fourth Proportional to 100,067.02, 150,100.53 and 47,447.80

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Solution

The fourth proportional to 100,067.02, 150,100.53 and 47,447.80 is: 71,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,067.02 : 150,100.53 = 47,447.80 : x
  2. Step 2: Convert to fraction form
    100,067.02/150,100.53 = 47,447.80/x
  3. Step 3: Cross multiply
    100,067.02x = 150,100.53 × 47,447.80
  4. Step 4: Simplify right side
    100,067.02x = 7,121,939,927.33
  5. Step 5: Solve for x
    x = 7,121,939,927.33/100,067.02
  6. Step 6: Final answer
    x = 71,171.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.